Q1: Find an approximation “ x2 “ to one of the zeroes of p(x) = x³ -x -1 using Newton-Raphson and synthetic division where xo =1 ( using four digit rounding)

Q: Q-2. Determine the values of x for which the function J (X) =$in Xcan be replaced by the Taylor 3…

A: We have to find the value of x as per given conditions.

Q: b 20. for f(x)=x³+4x²-3x-6 U find all possible rational zeros, and then test until you find one that…

A: This question can be solved using the concept of factor theorem.

Q: when x = 3.57 using quadratic Approximate y Lagrange Interpolating polynomial up to 3rd degree. Use…

A: Given table is xi yi 3.1 20.1810 3.2 22.5280 3.3 25.0470 3.4 27.7440 3.5 30.6250 3.6…

Q: The polynomial of degre3, P(x), has a root of multiplicity 2 at X=1 and a root of multiplicity 1 at…

A: Given that: Root x=1 has multiplicity 2Root x=-1 has multiplicity 1.y-intercept is y=-0.8

Q: Give a possible formula of minimum degree for the polynomial h(x) displayed in the graph to the…

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Q: 5. Given the following polynomial: x* - x3 + 2x? – 4x – 8 = 0 Use The Rational Root Theorem to find…

A: Since you have posted multiple questions we solve first question for you  To get the solution of…

Q: 1. Solve the lowest term of the following rational expres= functions. Show your complete solutions.…

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Q: For the function f(x) = x5 + x* - 3 i. Use 2 steps Bisection method to find the root between [1,2]…

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Q: Consider a cubic polynomial with a negative leading coefficent. The instantaneous rate of change at…

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Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros –1,…

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Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions…

A: Complex zeroes occurs in pair. So if i is a zero then -i is also a zero.

Q: 5. Find the asymptotic behavior of the polynomial f(x) = -x"+4æ® + 2x³ – x³ + 10x? – 12x – 10 (i.e.…

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Q: 4) For the function 16 4 y=-0.0519x+1.0777x-7.4569x +20.247x- 12.333 P=0.6113 12 10 4. 2. 4. time 10…

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Q: 1. Use the bisection method to find solutions accurate to within 0.0001 for the function…

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Q: 2. Find a formula for the polynomial that matches the follo Degree 5. Single zero at x=-2 and x-3,…

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Q: Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): 3,3,-1 .…

A: see 2nd step.

Q: find the zeros and give the multiplicity  f(x)= (3x+2)^5(x^2-10x+25) x=               (smaller…

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Q: 7. The fourth-degree polynomial f(x) = 230x* + 18x + 9x? – 221x -9 has two real zeros, one in [-1,0]…

A: As per the guideline, I am doing the 1st method only. Kindly repost the others separately.   Secant…

Q: 18. f(x) = x* – 5x³ + 7x? + 3x – 10 Possible Rational Roots (PRR): SHOW WORK HERE: Zeros:

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Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions as n =…

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Q: Q1: Find an approximation “x, " to one of the zeroes of p(x) = x³ –x -1 using Newton-Raphson and…

A:

Q: Q) Find an approximation to one of the zeros of p(x)=x3-2r2-5 using Newton's method and synthetic…

A:

Q: The average pollen count in a certain city on day x of the pollen season is P(x) = 12x - 0.2x2 (for…

A: Given, P(x)=12x-0.2x^2

Q: Let ƒ(x) = x3 - x - 1. a. Use the Intermediate Value Theorem to show that ƒ has a zero between -1…

A: a) We find f(-1) and f(2) by plugging x=-1 and x=2 respectively. We see that f(-1)<0 and…

Q: Find the second-degree Taylor polynomial for f(x) = 4x² – 8x + 8 about æ = 0. %3D P2(x) = What do…

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Q: Find an nth degree polynomial function with real coefficients satisfying the given conditions. 15) n…

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Q: Solve for all the roots of x using Bairstow's Method starting at r= 0.25 and s1 = 8.75 of the…

A: A polynomial is given by, fx = x4+8x3+72x-81. The objective is to solve the polynomial for all the…

Q: Solve for all the roots of x using Bairstow's Method starting at r = 0.25 and s1 = 8.75 of the…

A: Solution :-

Q: 12. The second-degree Maclaurin polynomial for f(x)=vx+9 is 3+ x² If this 6 108 polynomial is used…

A: The Maclaurin polynomial for f(x)=x+9is 3+x6-x2108 To approximate 8, substitute -1 for x in the…

Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions as : n…

A: the given conditions are: n=4; 2(with multiplicity 2) and 3i are zeroes, f(0)=36 we have to find an…

Q: 6x +3x+8 Determine the real root of F(x): by using bisection method. Employ initial guesses of x =…

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Q: The polynomial f (x) leaves the remainder x + 2 at the division with x ^ 2 + 2x-3 and leaves the…

A: Use the remainder theorem for the polynomials to determine the remainder when f(x) is divided by…

Q: Find a polynomial f (x) of degree 4 that has the following zeros. 7 (multiplicity 2), –3, 0 Leave…

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Q: 4. Find The coefficient of the x’term in the Maclaurin polynomial for sin(2x)

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Q: 4) Make up a problem which determines the lowest real root of the fourth degree polynomial (you are…

A: The objective is to make a problem that determines lowest real root of fourth degree polynomial…

Q: Find an equation of a degree 3 polynomial (in factored form) with the given zeros of f(x): 2, 1, 5.…

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Q: the polynomial of degree 4, p(x) has leading coefficient 1 had a zero of multiplicity 2 at x=2, a…

A: We are given that the polynomial p(x) has a zero of multiplicity 2 at x=2, i.e.; the polynomial has…

Q: 4) Polynomial of lowest de 1) and with f (0) = -18

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Q: Find an nth-degree polynomial function with real coefficients satisfying the given conditions:n=3-2…

A: We have n = 3. It means we need to find 3rd-degree polynomial. It is generally given as follows:-

Q: 3. Solve for all the roots of x using Bairstow's Method starting at r₁ = 0.25 and s₁ = 8.75 of the…

A: Given that, A polynomial fx=x4+8x3+72x-81           1, starting with at r1=0.25,  and s1=8.75,  then…

Q: Find a polynomial f (x) of degree 3 that has the following zeros. 6, -2, 0 Leave your answer in…

A: If an element 'a' is zero of a polynomial then we have (x-a) is factor of polynomial.

Q: The average pollen count in a certain city on day x of the pollen season is  P(x) = 8x − 0.2x2…

A: The average pollen count in a certain city on day x of the pollen season is  Differentiating with…

Q: Suppose f(x) has zeros at x=−3, x=4, x=5 and a y-intercept of 17.  In addition, f(x) has the…

A: Given that

Q: x to the third minus 512 over x-8 and must be solved using synthetic division.

A: First of all, consider the dividend and the divisor.

Q: Find a polynomial of the specified degree that satisfies the given conditions. Degree 4; zeros -1,…

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Q: Q) Find an approximation to one of the zeros of p(x)=x 3-2x2-5 using Newton's method and synthetic…

A: Given px=x3-2x2-5

Q: uppose that a polynomial function of degree 5 with rational coefficients has the given numbers as…

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Q: Find an equation with real coefficients for the polynomial that passes through the point (0,…

A: we have to find an equation with real coefficients for the polynomial that passes through the point…

Q: Find a polynomial f(x) of degree 4 with real coefficients and the following zeros. 1 (multiplicity…

A: Given: Find a polynomial f(x) of degree 4 with real coefficients and the following zeros. 1…

Q: 12. Find all the rational zeros for the function. f(x) = 5x³ – 16x² – 47x + 10 - -10 -2 1/2

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.